On a class of implicit solutions of the continuity and Euler's equations for 1D systems with long range interactions

DOI10.1016/j.physd.2004.12.003zbMath1106.82041OpenAlexW2063466534MaRDI QIDQ1776988

Philippe Choquard, Joël Wagner

Publication date: 12 May 2005

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.12.003

zbMATH Keywords

Computer simulations1D self-gravitating and Coulomb liquidsDensity-velocity correlationNon-local Hamiltonian field theory

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Statistical mechanics of plasmas (82D10)

Related Items (5)

Single speed solutions of the Vlasov-Poisson equations for Coulombian and Newtonian systems in \(nD\) ⋮ On a class of implicit solutions of the continuity and Euler's equations for 1D systems with long range interactions. II ⋮ On a Class of Mean Field Solutions of the Monge Problem for Perfect and Self-Interacting Systems ⋮ The one-dimensional Schrödinger-Newton equations ⋮ On the asymptotically cubic fractional Schrödinger–Poisson system

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• Evolution of the Solar System and the Expansion of the Universe
• Singularities and the distribution of density in the Burgers/adhesion model

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